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Simplifying 5g + 1(-3 + 2g) = 1 + -1g 5g + (-3 * 1 + 2g * 1) = 1 + -1g 5g + (-3 + 2g) = 1 + -1g Reorder the terms: -3 + 5g + 2g = 1 + -1g Combine like terms: 5g + 2g = 7g -3 + 7g = 1 + -1g Solving -3 + 7g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -3 + 7g + g = 1 + -1g + g Combine like terms: 7g + g = 8g -3 + 8g = 1 + -1g + g Combine like terms: -1g + g = 0 -3 + 8g = 1 + 0 -3 + 8g = 1 Add '3' to each side of the equation. -3 + 3 + 8g = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 8g = 1 + 3 8g = 1 + 3 Combine like terms: 1 + 3 = 4 8g = 4 Divide each side by '8'. g = 0.5 Simplifying g = 0.5
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